Application of the Polubarinova-Kochina Method for Investigating Filtration Flows from Foundation Pits Enclosed by Joukowski Tongs

摘要

Filtration flows from building foundation pits enclosed by Joukowski tongues were investigated in (see, for example, reviews). In certain cases, it is assumed that the water-permeable soil layer has an unlimited capacity and, in other cases, the underlying strongly permeable pressure water-bearing horizon is modeled by one or two horizontal drains in the form of a drainage Joukowski slot. In a number of cases, the free filtration, i.e., that without backwater, was studied, while in, pressure filtration was studied; i.e., the free-surface presence is neglected. In, infiltration was disregarded. For the solution, the Joukowski function and the Vedernikov-Pavlovskii method are used, which reduce the problem to a conformal map of rectilinear polygons with the subsequent use of the Christoffel-Schwarz formula.